Tangent line graphing calculator
[DOC File]AP Calculus AB
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The tangent line problem: an introduction to a “limit” ... The graphing calculator is a wonderful tool for exploring functions. The calculator is used every day in class. Again, Stewart has much to say about the employing a proper respect for the calculator’s sometimes apparent deficiencies. Knowing where a maximum or minimum value may ...
[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) You should know how to find all derivatives we have covered, including all trigonometric functions, natural log, and the inverse sine and inverse tangent functions. Sample problems. Find the derivatives if . if Use implicit differentiation to find an equation of the tangent line to the curve at the point
[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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Objectives: Students will graph a function, draw the tangent line to a point, move the tangent along the function, and make observations regarding the relationship of the tangent to the curve, the signs of the slopes of the tangent lines, slopes of tangents at extrema, and the position of the tangents at points of inflection and concavity.
[DOC File]Calculus 1 Lecture Notes, Section 3.1
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Here is a graph of the function y = f(x) = x3 –3x2 + 2x + 1 and its tangent line at the point (2,1). The equation of the tangent line is y = 2x – 3. Here is the same function and tangent line in the range of –1.9 < x < 2.1. Note how close they are.
[DOC File]AP® Calculus AB
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The program also plots points representing the slopes of those tangent lines. By using this graphing calculator program, the students can verify the validity of the conjectures they wrote concerning the relationship between a function and its derivative graph. Applications of Differentiation (Chapter 3) Time: 30 days. Extrema on an Interval
[DOC File]Equations and Graphs
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Approximate the slope of the tangent line to the graph at the point Use the following set of x values to generate the sequence of secant line slopes. For what values of x do the tangent lines appear to have slope of 0? (Hint: Use the calculate function in your calculator to approximate the x-values.) ... The graphing calculator will allow us to ...
[DOC File]Section 1
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Section 4.6: Graphing with Calculus and Calculators. SOLs: APC.1: The student will define and apply the properties of elementary functions, including algebraic, trigonometric, exponential, and composite functions and their inverses, and graph these functions using a graphing calculator. Objectives: Students will be able to:
[DOC File]AP Calculus Free-Response Questions
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Write an equation for the line tangent to the graph of f at (1, -1) and use it to approximate f(1.1). c. Find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1. 2006 Graphing Calculator on 1st 3 questions only . 235.
[DOC File]Calculus I - BrainMass
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Use a graphing calculator to graph . Use the graph to estimate (to one decimal place) the real zero of f. Approximate this zero using the value found in part a and Newton’s Method until two successive approximations differ by less than 0.001. Consider . Find an equation of the tangent line, T, …
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